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The Brauer indecomposability of Scott modules with semidihedral vertex

By Shigeo Koshitani and İPek Tuvay
We present a sufficient condition for the kGkG-Scott module with vertex PP to remain indecomposable under the Brauer construction for any subgroup QQ of PP as k[QCG(Q)]k[Q\,C_G(Q)]-module, where kk is a field of characteristic 22, and PP is a semidihedral 22-subgroup of a finite group GG. This generalizes results for... Show more
August 17, 2019
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The Brauer indecomposability of Scott modules with semidihedral vertex
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